66679848 has 80 divisors (see below), whose sum is σ = 197784180. Its totient is φ = 20915712.

The previous prime is 66679843. The next prime is 66679849. The reversal of 66679848 is 84897666.

It can be written as a sum of positive squares in 2 ways, for example, as 65901924 + 777924 = 8118^2 + 882^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 66679794 and 66679803.

It is not an unprimeable number, because it can be changed into a prime (66679843) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7990 + ... + 14042.

Almost surely, 2^66679848 is an apocalyptic number.

66679848 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66679848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98892090).

66679848 is an abundant number, since it is smaller than the sum of its proper divisors (131104332).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

66679848 is a wasteful number, since it uses less digits than its factorization.

66679848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6088 (or 6075 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The square root of 66679848 is about 8165.7729579018. The cubic root of 66679848 is about 405.5068551211.

The spelling of 66679848 in words is "sixty-six million, six hundred seventy-nine thousand, eight hundred forty-eight".